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Finding the Fourth Proportional to 15,771.42, 21,764.64 and 8,697.84

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Solution

The fourth proportional to 15,771.42, 21,764.64 and 8,697.84 is: 12,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.42 : 21,764.64 = 8,697.84 : x
  2. Step 2: Convert to fraction form
    15,771.42/21,764.64 = 8,697.84/x
  3. Step 3: Cross multiply
    15,771.42x = 21,764.64 × 8,697.84
  4. Step 4: Simplify right side
    15,771.42x = 189,305,356.38
  5. Step 5: Solve for x
    x = 189,305,356.38/15,771.42
  6. Step 6: Final answer
    x = 12,003.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.